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A Local School District Claims That the Number of School μ\mu

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A local school district claims that the number of school days missed by its teachers due to illness is below the
national average of μ\mu = 5. A random sample of 28 teachers provided the data below. At α α\alpha = 0.05, test the
districtʹs claim using P-values. 0363354135731233241625283125\begin{array} { l l l l l l l l l l } 0 & 3 & 6 & 3 & 3 & 5 & 4 & 1 & 3 & 5 \\7 & 3 & 1 & 2 & 3 & 3 & 2 & 4 & 1 & 6 \\2 & 5 & 2 & 8 & 3 & 1 & 2 & 5 & &\end{array}

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